Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1997-07-30
Nucl.Phys. A640 (1998) 129-143
Physics
Nuclear Physics
Nuclear Theory
18 pages Latex, 5 figures, final version to appear in Nucl. Phys. A. (Section 4 is rewritten and few references are added)
Scientific paper
10.1016/S0375-9474(98)00450-3
An $\omega$-meson in motion with respect to a nuclear medium can couple to a $\sigma$-meson through a particle-hole excitation. This coupling is large. We investigate its consequences for the width of $\omega$-mesons in matter and for the s-wave annihilation of pions into lepton pairs which can take place in relativistic heavy ion collisions. We find that the two pion decay of $\omega$-mesons, resulting from the $\omega-\sigma$ transition and the subsequent $2\pi$ decay of the $\sigma$-meson, leads to a substantial broadening of $\omega$-mesons in matter and possibly to an observable effect in experiments measuring the $e^+e^-$ decay of vector mesons produced in nuclei and in relativistic heavy-ion collisions. The inverse process, the s-wave annihilation of pions into $\omega$-mesons decaying into $e^+e^-$ pairs, has in general a much smaller cross section than the corresponding p-wave annihilation through $\rho$-mesons and is expected to contribute rather little to the total $e^+e^-$ pair production in relativistic heavy ion collisions.
Friman Bengt
Soyeur Madeleine
Wolf Gyuri
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